Information on Result #1195512
Digital (80, 101, 104860)-net over F16, using net defined by OOA based on linear OOA(16101, 104860, F16, 21, 21) (dual of [(104860, 21), 2201959, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(16101, 1048601, F16, 21) (dual of [1048601, 1048500, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16100, 1048600, F16, 21) (dual of [1048600, 1048500, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- linear OA(1696, 1048576, F16, 21) (dual of [1048576, 1048480, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(16100, 1048600, F16, 21) (dual of [1048600, 1048500, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (81, 102, 104860)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (82, 103, 104860)-net over F16 | [i] | ||
| 3 | Digital (83, 104, 104860)-net over F16 | [i] | ||